{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "start_time": "2024-05-09T21:43:46.851611Z",
     "end_time": "2024-05-09T21:43:47.326624Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x258fcb2d060>]"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y1 = np.sin(x)\n",
    "plt.plot(x, y1)\n",
    "y2 = np.cos(x)\n",
    "plt.plot(x, y2)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-05-09T21:47:00.380713Z",
     "end_time": "2024-05-09T21:47:00.491715Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x258fcbc0be0>]"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "ax.plot(x, np.sin(x))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-05-09T21:50:10.481069Z",
     "end_time": "2024-05-09T21:50:10.603610Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [],
   "source": [
    "fig.savefig(\"sine.png\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-05-09T21:50:19.738032Z",
     "end_time": "2024-05-09T21:50:19.795660Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
